Finding the Third Proportional to 4,825.50 and 7,074.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,825.50 : 7,074.75 = 7,074.75 : x
2. Step 2: Convert to fraction form
   4,825.50/7,074.75 = 7,074.75/x
3. Step 3: Cross multiply
   4,825.50x = 7,074.75 × 7,074.75
4. Step 4: Simplify right side
   4,825.50x = 50,052,087.56
5. Step 5: Solve for x
   x = 50,052,087.56/4,825.50
6. Step 6: Final answer
   x = 10,372.41